137038718073033
137,038,718,073,033 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 137038718073033 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
137038718073033 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137038718073033:
34 × 7 × 19 × 37 × 43 × 61 × 131071
(3 × 3 × 3 × 3 × 7 × 19 × 37 × 43 × 61 × 131071)See below for interesting mathematical facts about the number 137038718073033 from the Numbermatics database.
Names of 137038718073033
- Cardinal: 137038718073033 can be written as One hundred thirty-seven trillion, thirty-eight billion, seven hundred eighteen million, seventy-three thousand and thirty-three.
Scientific notation
- Scientific notation: 1.37038718073033 × 1014
Factors of 137038718073033
Divisors of 137038718073033
- Number of divisors d(n): 320
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Complete list of divisors:
1 3 7 9 19 21 27 37 43 57 61 63 81 111 129 133 171 183 189 259 301 333 387 399 427 513 549 567 703 777 817 903 999 1159 1161 1197 1281 1539 1591 1647 2109 2257 2331 2451 2623 2709 2997 3477 3483 3591 3843 4773 4921 4941 5719 6327 6771 6993 7353 7869 8113 8127 10431 10773 11137 11529 14319 14763 15799 17157 18361 18981 20313 20979 22059 23607 24339 24381 30229 31293 33411 34587 42883 42957 44289 47397 49837 51471 55083 56943 60939 66177 70821 73017 90687 93879 97051 100233 128649 128871 131071 132867 142191 149511 154413 165249 182817 211603 212463 219051 272061 291153 300181 300699 348859 385947 393213 398601 426573 448533 463239 495747 634809 657153 679357 816183 873459 900543 902097 917497 1046577 1157841 1179639 1279719 1345599 1487241 1843969 1904427 2038071 2448549 2490349 2620377 2701629 2752491 3139731 3473523 3538917 4036797 4849627 5531907 5636053 5713281 6114213 7471047 7861131 7995331 8104887 8257473 9419193 10616751 12907783 14548881 16595721 16908159 17139843 17432443 18342639 22413141 23985993 24314661 24772419 28257579 33947389 38723349 39452371 43646643 49787163 50724477 52297329 55027917 55967317 67239423 71957979 74317257 92142913 101842167 107085007 116170047 118357113 130939929 149361489 151911289 152173431 156891987 167901951 201718269 208533961 215873937 276428739 295827247 305526501 321255021 343799233 348510141 355071339 392819787 455733867 456520293 470675961 503705853 625601883 645000391 647621811 749595049 829286217 887481741 916579503 963765063 1031397699 1045530423 1063379023 1065214017 1367201601 1412027883 1459737727 1511117559 1876805649 1935001173 2070790729 2248785147 2406594631 2487858651 2662445223 2749738509 2891295189 3094193097 3190137069 3195642051 3962145259 4101604803 4379213181 4533352677 5620717693 5630416947 5805003519 6212372187 6532185427 6746355441 7219783893 7463575953 7987335669 8673885567 9282579291 9570411207 11886435777 12304814409 12720571621 13137639543 16862153079 16891250841 17415010557 18637116561 19596556281 20239066323 21659351679 23962007007 27735016813 27847737873 28711233621 35659307331 38161714863 39345023851 39412918629 45725297989 50586459237 52245031671 55911349683 58789668843 60717198969 64978055037 83205050439 86133700863 89044001347 106977921993 114485144589 118035071553 118238755887 137175893967 151759377711 167734049049 176369006529 194934165111 241690860799 249615151317 267132004041 320933765979 343455433767 354105214659 411527681901 455278133133 529107019587 725072582397 748845453951 801396012123 1030366301301 1062315643977 1234583045703 1691836025593 2175217747191 2246536361853 2404188036369 3186946931931 3703749137109 5075508076779 6525653241573 7212564109107 15226524230337 19576959724719 45679572691011 137038718073033
- Sum of all divisors σ(n): 263052989562880
- Sum of proper divisors (its aliquot sum) s(n): 126014271489847
- 137038718073033 is a deficient number, because the sum of its proper divisors (126014271489847) is less than itself. Its deficiency is 11024446583186
Bases of 137038718073033
- Binary: 111110010100010110100000001110001111000110010012
- Hexadecimal: 0x7CA2D01C78C9
- Base-36: 1CKQPUI7K9
Squares and roots of 137038718073033
- 137038718073033 squared (1370387180730332) is 18779610251100221388721819089
- 137038718073033 cubed (1370387180730333) is 2573533714721963704095220215267008515526937
-
The
square root of 137038718073033 is 11706353.7479880131 -
The
cube root of 137038718073033 is 51556.2232710747
Scales and comparisons
How big is 137038718073033?- 137,038,718,073,033 seconds is equal to 4,357,407 years, 17 weeks, 6 days, 23 hours, 50 minutes, 33 seconds.
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To count from 1 to 137,038,718,073,033 would take you about ten million, eight hundred ninety-three thousand, five hundred eighteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137038718073033 cubic inches would be around 4296.4 feet tall.
Recreational maths with 137038718073033
- 137038718073033 backwards is 330370817830731
- The number of decimal digits it has is: 15
- The sum of 137038718073033's digits is 54
- More coming soon!
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